I would suggest going LiFe as the fire risk is much lower. I think I would feel safer with a bag of gasoline in my pocket than one of those 10Ah 4S LiPo's. A 4s 10000mAh would be quite the fire.
These batteries are a bit bigger but you will get the idea:
That charger has a max charge rate of 6A so it will take about An hour and 40 to charge a 10Ah pack from dead. Generally the batteries are designed to be charged at 1C (1 x the capacity) so they can be safely charged at 10A. No charge rate is completely safe with LiPo. Charge them outdoors away from anything that can burn. People have burned down there house charging LiPo's. Last summer one of the guys on our race team almost burned his 5th wheel down charging LiPo's for an RC truck. They caught it just in time to stop it from spreading. He had to replace the flooring and some curtains.
LiPo's(and LiFe) really do not like to be over discharged. So you will want a low voltage alarm or better yet a low voltage cut off.
I would suggest going for a lower cell count if your running at 5V. You will get a little less conversion loss and you don't need high voltage sbec.
One thing nice about lithium batteries is that you can get the full capacity out of them. With lead acid you can only typically get like 50% of the rated capacity out of them. If you do go with the 4S 10,000 you should be able to run nearly 4 hours at 5V 8A draw. Depending on the switching regulator efficiency.
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Chris